The number 43404
43404 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3617. Divisors (12): 1, 2, 3, 4, 6, 12, 3617, 7234, 10851, 14468, 21702, 43404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43404 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43404 is composite. Its prime factorisation is
- 3
The divisors add up to 101304; without 43404 itself that is 57900, so 43404 is abundant (57900 is more than 43404). Euler's totient φ(43404) = 14464 numbers up to 43404 share no factor with it.
- 4
The digits of 43404 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43404 = 2^{2} \times 3 \times 3617 \]43404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 101304 |
| Euler totient φ(n) | 14464 |
| Square | 1883907216 |
| Cube | 81769108803264 |
| Square root | 208.336267 (= 2√10851) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.3404 × |
43404 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand four hundred and four |
| Binary (base 2) | 1010100110001100 |
| Octal (base 8) | 124614 |
| Hexadecimal (base 16) | A98C |
| Base 3 | 2012112120 |
| As time | 43404 seconds = 12 h 3 min 24 s |
Is 43404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43404 ÷ 2 = 21702) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43404 ÷ 3 = 14468) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43404 ÷ 4 = 10851) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (43404 ÷ 6 = 7234) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (43404 ÷ 12 = 3617) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43404 a prime number?
No. 43404 = × 3 × 3617, so it is divisible by 2.
What are the factors of 43404?
1, 2, 3, 4, 6, 12, 3617, 7234, 10851, 14468, 21702, 43404.
What is 43404 in binary?
1010100110001100 (hexadecimal A98C, octal 124614).
What is the square root of 43404?
About 208.3363, exactly 2√10851.
Is 43404 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 43404?
It is a composite number with 12 divisors.